# WEEK 7 - Portfolio Analysis (NOT YET COMPLETE) Flashcards

How do we calculate the expected return on a two asset portfolio?

R(bar)P = WaRa +WbRb

Where: R(bar)p = Expected return on Portfolio Ra = Return on Security A Rb = Return on Security B Wa = Share of Security A in portfolio Wb = Share of Security B in portfolio

How do you calculate the standard deviation of a two asset portfolio?

σp = Square root of (W2Aσ 2A + w2B σ 2B + 2WaWb COV (RA,RB)

Where: σp = Portfolio Standard Deviation σA2= Variance of Investment A σB2 = Variance of Investment B COV(Ra,Rb) = Covariance of A and B

SEE EXAMPLE IN NOTES

How do we calculate the Covariance of A and B?

COV(Ra,Rb) = SIGMA (Ra - R (bar)a) (Rb - R(bar)b)pi

Where:

R(bar)a = Expected Return on A

R(bar)B = Expected Return on B

SEE EXAMPLE IN NOTES

How do we calculate the correlation coefficient?

P a,b = COV (Ra,Rb) / σa σb

SEE EXAMPLE IN NOTES

What is the correlation scale?

Ranges from -1.0 to +1.0. The closer r is to +1 or -1, the more closely the two variables are related (Negatively or Positively). If r is close to 0, it means there is no relationship between the variables.

What does the degree of risk reduction depend on?

the extent of statistical interdependence between the returns of the different investments

the number of securities over which to spread the risk

What is the general rule in portfolio theory?

Portfolio returns are a weighted average of the expected returns on the individual investment . . .

BUT . . .

Portfolio standard deviation is less than the weighted average risk of the individual investments, except for perfectly positively correlated investments.

How can we rewrite the Standard Deviation considering we know about the Covariance?

Since we know the COV of A and B

Can rewrite St.Dev as (CHECK NOTES)

What is the Efficient Frontier for Portfolio Analysis?

Set of optimal portfolios that offer the highest expected return for a defined level of risk or the lowest risk for a given level of expected return.

(SEE GRAPH IN NOTES)

What is the Indifference Curve for Portfolio Analysis?

Describe investor demand for portfolios based on the trade-off between expected return and risk.

It is a convex curve, meaning upward curving and where it meets the Efficient Frontier there is a match between supply and demand. This spot is called the Optimal Portfolio.

How are the varying degrees of risk displayed in the Indifference Curve?`

SEE IN NOTES

How do you plot the points of a two asset model where both assets are perfectly correlated?

It is only possible to create along a straight line between the 2 assets

SEE GRAPH IN NOTES

How do you plot the points of a two asset model where both assets are uncorrelated? (+0.00)

Only possible to create a two asset portfolio with risk return along a line between either asset.

SEE GRAPH IN NOTES

How do you plot the points of a two asset model where both assets are correlated? (+0.5)

Only possible to create a two asset portfolio between the first two curves

SEE GRAPH IN NOTES

How do you plot the points of a two asset model where both assets are negatively correlated? (-0.5)

Possible to create a two asset portfolio with much lower risk than either asset

SEE GRAPH IN NOTES